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Finding the Fourth Proportional to 517.32, 779.86 and 482.96

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Solution

The fourth proportional to 517.32, 779.86 and 482.96 is: 728.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.32 : 779.86 = 482.96 : x
  2. Step 2: Convert to fraction form
    517.32/779.86 = 482.96/x
  3. Step 3: Cross multiply
    517.32x = 779.86 × 482.96
  4. Step 4: Simplify right side
    517.32x = 376,637.29
  5. Step 5: Solve for x
    x = 376,637.29/517.32
  6. Step 6: Final answer
    x = 728.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.